let X be set ; :: thesis: ( X is integer-functions-membered implies X is rational-functions-membered )
assume A2: for x being set st x in X holds
x is integer-valued Function ; :: according to VALUED_2:def 6 :: thesis: X is rational-functions-membered
let x be set ; :: according to VALUED_2:def 5 :: thesis: ( x in X implies x is rational-valued Function )
thus ( x in X implies x is rational-valued Function ) by A2; :: thesis: verum